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manasa ganduri Grade: 12
        what is the condition that the line y=mx+c be tangent to a parabola x square =4ay is c=-am square
7 years ago

Answers : (1)

Nehal Wani
21 Points
										

y=mx+c........(i)


x2=4ay..........(ii)


Putting the value of y from (i) to (ii)


x2=4a(mx+c)


The line Touches The parabola If Discriminant=0


x2-4amx-c=0


16a2m2=-4c


c=-4a2m2


There fore the equation of tangent is:


y=mx-4a2m2


 

7 years ago
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